Home / 1,057.14-1,584.93-501.90

Finding the Fourth Proportional to 1,057.14, 1,584.93 and 501.90

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Solution

The fourth proportional to 1,057.14, 1,584.93 and 501.90 is: 752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.14 : 1,584.93 = 501.90 : x
  2. Step 2: Convert to fraction form
    1,057.14/1,584.93 = 501.90/x
  3. Step 3: Cross multiply
    1,057.14x = 1,584.93 × 501.90
  4. Step 4: Simplify right side
    1,057.14x = 795,476.37
  5. Step 5: Solve for x
    x = 795,476.37/1,057.14
  6. Step 6: Final answer
    x = 752.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.